English

On computable field embeddings and difference closed fields

Logic 2019-08-15 v2

Abstract

We investigate when a computable automorphism of a computable field can be effectively extended to a computable automorphism of its (computable) algebraic closure. We then apply our results and techniques to study effective embeddings of computable difference fields into computable difference closed fields.

Keywords

Cite

@article{arxiv.1506.02791,
  title  = {On computable field embeddings and difference closed fields},
  author = {Matthew Harrison-Trainor and Russell Miller and Alexander Melnikov},
  journal= {arXiv preprint arXiv:1506.02791},
  year   = {2019}
}

Comments

24 pages

R2 v1 2026-06-22T09:49:53.099Z